Sparse directional image representations using the discrete shearlet transform
From MaRDI portal
Publication:930733
DOI10.1016/j.acha.2007.09.003zbMath1147.68794OpenAlexW2097061348MaRDI QIDQ930733
Demetrio Labate, Wang-Q Lim, Glenn R. Easley
Publication date: 1 July 2008
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2007.09.003
Related Items (73)
Image fusion based on complex-shearlet domain with guided filtering ⋮ Extended shearlet HMT model-based image denoising using BKF distribution ⋮ Characterization and analysis of edges in piecewise smooth functions ⋮ Local bit-plane neighbour dissimilarity pattern in non-subsampled shearlet transform domain for bio-medical image retrieval ⋮ Compressive Sensing with Redundant Dictionaries and Structured Measurements ⋮ Digital Affine Shear Transforms: Fast Realization and Applications in Image/Video Processing ⋮ Directional wavelet bases constructions with dyadic quincunx subsampling ⋮ Analysis and classification of natural rock textures based on new transform-based features ⋮ Isotropic Shearlet Analogs forL2(ℝk) and Localization Operators ⋮ Microlocal analysis of edge flatness through directional multiscale representations ⋮ Optimal recovery of 3D X-ray tomographic data via shearlet decomposition ⋮ Shearlet-TGV based model for restoring noisy images corrupted by Cauchy noise ⋮ Construction of wavelets with composite dilations ⋮ Geometric mode decomposition ⋮ Robust and stable region-of-interest tomographic reconstruction using a robust width prior ⋮ Shearlet approximations to the inverse of a family of linear operators ⋮ Empirical study of wavelet domain image joint statistics and proposition of an efficient correlation map ⋮ Geometric separation of singularities using combined multiscale dictionaries ⋮ Directional Compactly Supported Tensor Product Complex Tight Framelets with Applications to Image Denoising and Inpainting ⋮ Detection of boundary curves on the piecewise smooth boundary surface of three dimensional solids ⋮ Analysis and detection of surface discontinuities using the 3D continuous shearlet transform ⋮ Efficient representation of spatio-temporal data using cylindrical shearlets ⋮ Tree approximation with anisotropic decompositions ⋮ Iterative CT reconstruction based on ADMM using shearlet sparse regularization ⋮ Irregular shearlet frames: Geometry and approximation properties ⋮ Characterization of piecewise-smooth surfaces using the 3D continuous shearlet transform ⋮ Geometric separation in \(\mathbb{R}^3\) ⋮ Compactly supported shearlets are optimally sparse ⋮ Suboptimality of nonlocal means for images with sharp edges ⋮ Directional multiscale representations and applications in digital neuron reconstruction ⋮ Shearlet-based regularized reconstruction in region-of-interest computed tomography ⋮ TV+TV regularization with nonconvex sparseness-inducing penalty for image restoration ⋮ Combination of anisotropic diffusion and non-subsampled shearlet transform for image denoising ⋮ Representation of Fourier integral operators using shearlets ⋮ Restricted thresholding: recovering smoothness and preserving edges ⋮ CURE: Curvature Regularization for Missing Data Recovery ⋮ Construction of compactly supported shearlet frames ⋮ Shearlet smoothness spaces ⋮ Video despeckling using shearlet tensor-based anisotropic diffusion ⋮ Study of shearlet transform using block matrix dilation ⋮ Discrete directional Gabor frames ⋮ Directional multiscale processing of images using wavelets with composite dilations ⋮ Anisotropic nonlocal means denoising ⋮ Anisotropic shearlet transforms for L2 ⋮ An introduction to continuous optimization for imaging ⋮ Data-driven tight frame learning scheme based on local and non-local sparsity with application to image recovery ⋮ Radon transform inversion using the shearlet representation ⋮ Inpainting via high-dimensional universal shearlet systems ⋮ Emergence of Shearlets and Its Applications ⋮ Image fusion of CT and MR with sparse representation in NSST domain ⋮ Remote sensing image fusion via RPCA and adaptive PCNN in NSST domain ⋮ PCM-TV-TFV: A Novel Two-Stage Framework for Image Reconstruction from Fourier Data ⋮ A strong robust zero-watermarking scheme based on shearlets' high ability for capturing directional features ⋮ Medical image fusion based on modified pulse coupled neural network model and kirsch operator ⋮ Decay properties of the discrete wavelet transform in \(n\) dimensions with independent dilation parameters ⋮ Multichannel image denoising using color monogenic curvelet transform ⋮ Discrete frames for \(L^2(\mathbb{R}^{n^2})\) arising from tiling systems on \(\mathrm{GL}_n(\mathbb{R})\) ⋮ Fusion of multimodal medical images using nonsubsampled shearlet transform and particle swarm optimization ⋮ Resolution of the wavefront set using continuous shearlets ⋮ Computer aided system for breast cancer in digitized mammogram using shearlet band features with LS-SVM classifier ⋮ Research of multimodal medical image fusion based on parameter-adaptive pulse-coupled neural network and convolutional sparse representation ⋮ Optimally sparse representations of cartoon-like cylindrical data ⋮ Two-scale decomposition-based multifocus image fusion framework combined with image morphology and fuzzy set theory ⋮ ON THE SHEARLET TRANSFORM USING HYPERBOLIC FUNCTIONS ⋮ Medical image fusion based on nonsubsampled shearlet transform and principal component averaging ⋮ Edge analysis and identification using the continuous shearlet transform ⋮ ShearLab 3D ⋮ Shearlets: Theory and Applications ⋮ Two-stage geometric information guided image reconstruction ⋮ Frame soft shrinkage operators are proximity operators ⋮ On Heisenberg and local uncertainty principles for the multivariate continuous quaternion shearlet transform ⋮ An efficient operator-splitting radial basis function-generated finite difference (RBF-FD) scheme for image noise removal based on nonlinear total variation models ⋮ Convex multiclass segmentation with shearlet regularization
Cites Work
- Some simple Haar-type wavelets in higher dimensions
- Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns
- Brushlets: A tool for directional image analysis and image compression
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Generalized discrete Radon transforms and their use in the ridgelet transform
- Image Deconvolution Using a General Ridgelet and Curvelet Domain
- The curvelet transform for image denoising
- Ideal spatial adaptation by wavelet shrinkage
- New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
- Wavelets with composite dilations
- Data compression and harmonic analysis
- Ridgelets: a key to higher-dimensional intermittency?
- Optimally Sparse Multidimensional Representation Using Shearlets
- Fast Discrete Curvelet Transforms
- Complex wavelets for shift invariant analysis and filtering of signals
- Sparse components of images and optimal atomic decompositions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Sparse directional image representations using the discrete shearlet transform